Nonlinear elliptic equations on Carnot groups

Ferrara, Massimiliano (author), Molica Bisci, Giovanni (author), Repovš, Dušan (author)

This article concerns a class of elliptic equations on Carnot groups depending on one real positive parameter and involving a subcritical nonlinearity. As a special case of our results we prove the existence of at least one nontrivial solution for a subelliptic equation defined on a smooth and bounded domain ▫$D$▫ of the Heisenberg group ▫$\mathbb{H}^n = \mathbb{C}^n \times \mathbb{R}$▫. The main approach is based on variational methods.

• Language: English
• Keywords: subelliptic equation, Carnot group, weak solution, critical point result, Heisenberg group, Folland-Stein space
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2017
• Number of pages: Str. 707-718
• Numbering: Vol. 111, iss. 3
• PID: 20.500.12556/RUL-109545
• UDC: 517.956
• ISSN on article: 1578-7303
• DOI: 10.1007/s13398-016-0321-3
• COBISS.SI-ID: 17738841
• Publication date in RUL: 05.09.2019

Record is a part of a journal

• Title: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas
• Shortened title: Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat.
• Publisher: Springer Nature, Real Academia de Ciencias Exactas, Físicas y Naturales
• ISSN: 1578-7303
• COBISS.SI-ID: 17645351